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Finding the Fourth Proportional to 7,136.52, 9,852.70 and 4,656.84

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Solution

The fourth proportional to 7,136.52, 9,852.70 and 4,656.84 is: 6,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.52 : 9,852.70 = 4,656.84 : x
  2. Step 2: Convert to fraction form
    7,136.52/9,852.70 = 4,656.84/x
  3. Step 3: Cross multiply
    7,136.52x = 9,852.70 × 4,656.84
  4. Step 4: Simplify right side
    7,136.52x = 45,882,447.47
  5. Step 5: Solve for x
    x = 45,882,447.47/7,136.52
  6. Step 6: Final answer
    x = 6,429.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.